41809152 has 216 divisors, whose sum is σ = 142605792. Its totient is φ = 10752000.

The previous prime is 41809133. The next prime is 41809169. The reversal of 41809152 is 25190814.

It is a happy number.

41809152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413902 + ... + 414002.

It is an arithmetic number, because the mean of its divisors is an integer number (660212).

Almost surely, 2^41809152 is an apocalyptic number.

41809152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71302896).

41809152 is an abundant number, since it is smaller than the sum of its proper divisors (100796640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41809152 is a wasteful number, since it uses less digits than its factorization.

41809152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 41809152 is about 6465.9996906898. Note that the first 3 decimals coincide. The cubic root of 41809152 is about 347.0753628249.

Adding to 41809152 its reverse (25190814), we get a palindrome (66999966).

The spelling of 41809152 in words is "forty-one million, eight hundred nine thousand, one hundred fifty-two".